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Finding the Fourth Proportional to 3,721, 5,135.04 and 2,042.16

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Solution

The fourth proportional to 3,721, 5,135.04 and 2,042.16 is: 2,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721 : 5,135.04 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    3,721/5,135.04 = 2,042.16/x
  3. Step 3: Cross multiply
    3,721x = 5,135.04 × 2,042.16
  4. Step 4: Simplify right side
    3,721x = 10,486,573.29
  5. Step 5: Solve for x
    x = 10,486,573.29/3,721
  6. Step 6: Final answer
    x = 2,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.